On Logically Cyclic Groups

Abstract

A group $G$ is called logically cyclic, if it contains an element $s$ such that every element of $G$ can be defined by a first order formula with parameter $s$. The aim of this paper is to investigate the structure of such groups.

Final modifications, Revised; Journal of Group Theory, 2014

References in corpus (1)

• Subgroups defining automorphisms in locally nilpotent groups